2022
- Solver comparison for Poisson-like equations on tokamak geometries. 2022 mehr…
- Variational Framework for Structure-Preserving Electromagnetic Particle-in-Cell Methods. Journal of Scientific Computing 91 (2), 2022, 46 mehr…
- EUROfusion-theory and advanced simulation coordination (E-TASC): programme and the role of high performance computing. Plasma Physics and Controlled Fusion 64 (3), 2022, 034005 mehr…
2021
- A mimetic discretization of the macroscopic Maxwell equations in Hamiltonian form. 2021 mehr…
- A Hamiltonian model for the macroscopic Maxwell equations using exterior calculus. 2021 mehr…
- Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov--Maxwell solver. Journal of Computational Physics 425, 2021, 109890 mehr…
- Perfect Conductor Boundary Conditions for Geometric Particle-in-Cell Simulations of the Vlasov-Maxwell System in Curvilinear Coordinates. 2021 mehr…
- Geometric Particle-in-Cell Simulations of the Vlasov--Maxwell System in Curvilinear Coordinates. SIAM Journal on Scientific Computing 43 (1), 2021, B194-B218 mehr…
- On Geometric Fourier Particle In Cell Methods. 2021 mehr…
2020
- ORB5: a global electromagnetic gyrokinetic code using the PIC approach in toroidal geometry. Computer Physics Communications 251, 2020, 107072 mehr…
2019
- Implicit time schemes for compressible fluid models based on relaxation methods. Computers & Fluids 188, 2019, 70-85 mehr…
- Reduction of the statistical error in electromagnetic gyrokinetic particle-in-cell simulations. Journal of Plasma Physics 85, 2019, 905850112 mehr…
- An iterative approach to an arbitrarily short-wavelength solver in global gyrokinetic simulations. Journal of Plasma Physics 85 (1), 2019, 905850116 mehr…
- First principles gyrokinetic analysis of electromagnetic plasma instabilities. Plasma Physics and Controlled Fusion 61 (11), 2019, 114002 mehr…
2018
- Field-Aligned Interpolation for Semi-Lagrangian Gyrokinetic Simulations. Journal of Scientific Computing 74 (3), 2018, 1601--1650 mehr…
2017
- Cross-code gyrokinetic verification and benchmark on the linear collisionless dynamics of the geodesic acoustic mode. Physics of Plasmas 24 (6), 2017, 062512 mehr…
- Compatible Maxwell solvers with particles I: conforming and non-conforming 2D schemes with a strong Ampere law. The SMAI Journal of computational mathematics 3, 2017, 53--89 mehr…
- Compatible Maxwell solvers with particles II: conforming and non-conforming 2D schemes with a strong Faraday law. The SMAI Journal of computational mathematics 3, 2017, 91--116 mehr…
- GEMPIC: Geometric electromagnetic particle-in-cell methods. Journal of Plasma Physics 83 (4), 2017 mehr…
- Mitigation of the cancellation problem in the gyrokinetic particle-in-cell simulations of global electromagnetic modes. Physics of Plasmas 24 (8), 2017, 081206 mehr…
- Chapter 14 - Maxwell and Magnetohydrodynamic Equations. In: Handbook of Numerical Methods for Hyperbolic Problems. Elsevier, 2017, 385-401 mehr…
- Verification of Gyrokinetic codes: theoretical background and applications. Physics of Plasmas 24 (5), 2017, 056115 mehr…
2016
- Handling the divergence constraints in Maxwell and Vlasov--Maxwell simulations. Applied Mathematics and Computation 272, 2016, 403--419 mehr…
- Gauss-compatible Galerkin schemes for time-dependent Maxwell equations. Mathematics of Computation 85 (302), 2016, 2651--2685 mehr…
- Solving the guiding-center model on a regular hexagonal mesh. ESAIM: Proceedings and Surveys 53, 2016, 149--176 mehr…
- Second order gyrokinetic theory for particle-in-cell codes. Physics of Plasmas 23 (8), 2016, 082505 mehr…
2015
- Monte Carlo particle-in-cell methods for the simulation of the Vlasov--Maxwell gyrokinetic equations. Journal of Plasma Physics 81 (5), 2015, 435810501 mehr…
- Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code. ESAIM: Mathematical Modelling and Numerical Analysis 49 (5), 2015, 1331--1365 mehr…
- Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field. Communications in Computational Physics 18 (2), 2015, 263--296 mehr…
- An exponential integrator for a highly oscillatory Vlasov equation. Discrete and Continuous Dynamical Systems - S 8 (1), 2015, 169-183 mehr…
- A split control variate scheme for PIC simulations with collisions. Journal of Computational Physics 295, 2015, 402-419 mehr…
2014
- Simulations of kinetic electrostatic electron nonlinear (KEEN) waves with variable velocity resolution grids and high-order time-splitting. The European Physical Journal D 68 (10), 2014, 295 mehr…
- Finite Element Hodge for spline discrete differential forms. Application to the Vlasov--Poisson system. Applied Numerical Mathematics 79, 2014, 124--136 mehr…
- Charge-conserving FEM--PIC schemes on general grids. Comptes Rendus Mecanique 342 (10), 2014, 570--582 mehr…
- Noiseless Vlasov--Poisson simulations with linearly transformed particles. Journal of Computational Physics 275, 2014, 236--256 mehr…
- Charge-conserving grid based methods for the Vlasov--Maxwell equations. Comptes Rendus Mécanique 342 (10), 2014, 636--646 mehr…
- Energy conserving discontinuous Galerkin spectral element method for the Vlasov--Poisson system. Journal of Computational Physics 279, 2014, 261--288 mehr…
2013
- An exponential integrator for a highly oscillatory Vlasov equation. arXiv preprint arXiv:1306.3080, 2013 mehr…
2012
- Spline discrete differential forms. ESAIM: Proceedings, 2012 mehr…
- An isogeometric analysis approach for the study of the gyrokinetic quasi-neutrality equation. Journal of Computational Physics 231 (2), 2012, 373--393 mehr…
- High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations. Communications in Computational Physics 11 (3), 2012, 863--892 mehr…
- An arbitrary high-order spline finite element solver for the time domain maxwell equations. Journal of Scientific Computing 51 (1), 2012, 87--106 mehr…
2011
- An axisymmetric PIC code based on isogeometric analysis. Esaim: proceedings, 2011 mehr…
- Analysis of a new class of forward semi-Lagrangian schemes for the 1D Vlasov Poisson equations. Numerische Mathematik 118 (2), 2011, 329--366 mehr…
- Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations. ESAIM: Proceedings, 2011 mehr…
2010
2009
- An asymptotically stable semi-lagrangian scheme in the quasi-neutral limit. Journal of Scientific Computing 41 (3), 2009, 341--365 mehr…
- Guiding-center simulations on curvilinear meshes. Numerical Models for Controlled Fusion (NMCF09), 2009 mehr…
- A parallel Vlasov solver based on local cubic spline interpolation on patches. Journal of Computational Physics 228 (5), 2009, 1429--1446 mehr…
- A forward semi-Lagrangian method for the numerical solution of the Vlasov equation. Computer Physics Communications 180 (10), 2009, 1730--1745 mehr…
- Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method. Mathematical Models and Methods in Applied Sciences 19 (02), 2009, 175--197 mehr…
- A new refinement indicator for adaptive parameterization: Application to the estimation of the diffusion coefficient in an elliptic problem. Journal of Computational and Applied Mathematics 224 (1), 2009, 307--319 mehr…
2008
- A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov--Maxwell system. Journal of Computational Physics 227 (16), 2008, 7889--7916 mehr…
- Comparison of two Eulerian solvers for the four-dimensional Vlasov equation: Part II. Communications in nonlinear science and numerical simulation 13 (1), 2008, 94--99 mehr…
- Comparison of two Eulerian solvers for the four-dimensional Vlasov equation: Part I. Communications in Nonlinear Science and Numerical Simulation 13 (1), 2008, 88--93 mehr…
- Computing ITG turbulence with a full-f semi-Lagrangian code. Communications in Nonlinear Science and Numerical Simulation 13 (1), 2008, 81--87 mehr…
2007
- Generalized formulations of Maxwell's equations for numerical Vlasov--Maxwell simulations. Mathematical Models and Methods in Applied Sciences 17 (05), 2007, 657--680 mehr…
- Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena. International Journal of Applied Mathematics and Computer Science 17 (3), 2007, 361--374 mehr…
- Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems. M2AN Math. Model. Numer. Anal. 40 (6), 2007, 1023--1052 mehr…
- Hermite spline interpolation on patches for parallel Vlasov beam simulations. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 577 (1), 2007, 129--132 mehr…
- Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations. Numerische Mathematik 108 (2), 2007, 263--293 mehr…
- Gyrokinetic semi-lagrangian parallel simulation using a hybrid OpenMP/MPI programming. PVM/MPI, 2007 mehr…
2006
- Modeling and numerical simulation of space charge dominated beams in the paraxial approximation. Mathematical Models and Methods in Applied Sciences 16 (05), 2006, 763--791 mehr…
- A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation. Journal of Computational Physics 217 (2), 2006, 395--423 mehr…
- GYSELA, a full-f global gyrokinetic Semi-Lagrangian code for ITG turbulence simulations. Aip conference proceedings, 2006 mehr…
- Moments conservation in adaptive Vlasov solver. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 558 (1), 2006, 159--162 mehr…
- Pinhole SPECT imaging: compact projection/backprojection operator for efficient algebraic reconstruction. IEEE transactions on medical imaging 25 (2), 2006, 158--167 mehr…
- A parallel adaptive Vlasov solver based on hierarchical finite element interpolation. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 558 (1), 2006, 188--191 mehr…
2005
- Semi-Lagrangian Schemes for the Two-Dimensional Vlasov--Poisson System on Unstructured Meshes. Transport Theory and Statistical Physics 34 (3-5), 2005, 311--332 mehr…
2004
- Vlasov simulations on an adaptive phase-space grid. Computer Physics Communications 164 (1-3), 2004, 214--219 mehr…
- Vlasov simulations on an adaptive phase-space grid. Computer Physics Communications 164 (1), 2004, 214--219 mehr…
- Vlasov simulations of beams with a moving grid. Computer Physics Communications 164 (1-3), 2004, 390--395 mehr…
- Vlasov simulations of beams with a moving grid. Computer Physics Communications 164 (1), 2004, 390--395 mehr…
2003
- Global existence for the Vlasov--Darwin system in R^3 for small initial data. Mathematical methods in the applied sciences 26 (4), 2003, 297--319 mehr…
- Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space. Journal of Computational Physics 191 (2), 2003, 341--376 mehr…
- An adaptive numerical method for the Vlasov equation based on a multiresolution analysis. In: Numerical Mathematics and Advanced Applications. Springer, 2003, 437--446 mehr…
- Comparison of eulerian vlasov solvers. Computer Physics Communications 150 (3), 2003, 247--266 mehr…
- Instability of the time splitting scheme for the one-dimensional and relativistic Vlasov-Maxwell system. J. Comput. Phys. 185 (2), 2003, 512--531 mehr…
2001
- Conservative Numerical Schemes for the Vlasov Equation. J. Comput. Phys. 172 (1), 2001, 1--22 mehr…
- Two-scale expansion of a singularly perturbed convection equation. Journal de Mathématiques Pures et Appliquées 80 (8), 2001, 815--843 mehr…
- The Finite Larmor Radius Approximation. SIAM Journal on Mathematical Analysis 32 (6), 2001, 1227--1247 mehr…
- Simulation of heavy ion beams with a semi-Lagrangian Vlasov solver. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 464 (1), 2001, 470--476 mehr…
2000
- LONG TIME BEHAVIOR OF THE TWO-DIMENSIONAL VLASOV EQUATION WITH A STRONG EXTERNAL MAGNETIC FIELD. Mathematical Models and Methods in Applied Sciences 10 (04), 2000, 539--553 mehr…
- Divergence correction techniques for Maxwell solvers based on a hyperbolic model. Journal of Computational Physics 161 (2), 2000, 484--511 mehr…
1999
- Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain. Mathematical Methods in the Applied Sciences 22 (6), 1999, 485-499 mehr…
- Parallelization of semi-Lagrangian Vlasov codes. Journal of plasma physics 61 (3), 1999, 435--448 mehr…
- Maxwell's equations when the charge conservation is not satisfied. Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 328 (5), 1999, 431--436 mehr…
- The semi-Lagrangian method for the numerical resolution of the Vlasov equation. Journal of computational physics 149 (2), 1999, 201--220 mehr…
1998
- Resolution of the Maxwell equations in a domain with reentrant corners. M2AN - Modélisation math\ḿatique et analyse num\'íque 32 (3), 1998, 359--389 mehr…
- Homogenization of the Vlasov equation and of the Vlasov--Poisson system with a strong external magnetic field. Asymptotic Analysis 18 (3-4), 1998, 193--213 mehr…
1997
- A decomposition of the electromagnetic field?Application to the Darwin model. Mathematical Models and Methods in Applied Sciences 7 (08), 1997, 1085--1120 mehr…
1996
- A hierarchy of approximate models for the Maxwell equations. Numerische Mathematik 73 (3), 1996, 329--372 mehr…